Math portfolio Essay Example | Topics and Well Written Essays - 1750 words

Math portfolio - Essay Example In addition, it will be also checked that what happen if no further doses is given to malaria patient over a week period after an initial dose of 10 ÃŽ ¼g. From The graph of the given data, it is obvious that the amount of drug in the bloodstream decreases as the time passes. From investigation, it is found that it is similar to the graph of an exponential decay function (for example radioactive decay graph). The general equation of such an exponential decay function is: From the above function, the different values of can be determined for the given data that is summarized in table 2. Since, there are different values of for every data points, therefore, for our model function taking average value (mean value) of from the calculated values of ,. Figure 2 shows the Graph of model function and data given. From figure 2 , it can be seen that the graph of model function and data given are similar and approximately follows the same path. Some minor deviations may be because of the error in colleting the data for the amount of drug in the bloodstream over a period. The model functionis suitable for the modeling of amount of the drug in the bloodstream. The suitability of the model function is also derived from the comparison of the graph of model function and data given and both are similar. From given graph of amount of drug in the bloodstream for 10-hour period following an initial dose of 10 ÃŽ ¼g, it can be seen that amount of drug remained in the bloodstream after six-hour period is equal to 3.7 ÃŽ ¼g. Therefore, in six-hour period the amount of drug decay is 6.3 ÃŽ ¼g. Assuming this decay-rate is constant for further period, when a patient is instructed to take 10 ÃŽ ¼g of this drug every six hours. Then, the amount of drug at start and at end of each period will be as given in table 3. The maximum amount of drug 21.1 ÃŽ ¼g in the bloodstream will be at start of fourth period (i.e. 18-24 hour period) and the minimum amount of drug 3.7 ÃŽ ¼g in